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Finding the Fourth Proportional to 11,106.53, 15,326.96 and 6,070.77

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Solution

The fourth proportional to 11,106.53, 15,326.96 and 6,070.77 is: 8,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.53 : 15,326.96 = 6,070.77 : x
  2. Step 2: Convert to fraction form
    11,106.53/15,326.96 = 6,070.77/x
  3. Step 3: Cross multiply
    11,106.53x = 15,326.96 × 6,070.77
  4. Step 4: Simplify right side
    11,106.53x = 93,046,418.61
  5. Step 5: Solve for x
    x = 93,046,418.61/11,106.53
  6. Step 6: Final answer
    x = 8,377.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.